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Article #1355

Re: DAMN, THAT'S COOL! (Help a fellow geek)

#1355
From: William R. Penrose
Date: Fri, 31 Jan 1997 00:00
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In article <32F190F4.8D2@worldnet.att.net> Larks <Larks@worldnet.att.net> writes:

>> 
>> So, I'm trying to collect posters' favorite Things in Math & Science.
>>         For example, one of my favorite things is the solid that you get
>> when you rotate y=1/(log x) about the x-axis -- it has finite volume but an
>> infinite surface.  

>Yep.

>> So if you had a container that shape, you could fill it
>> up with some finite quantity of paint, but it would never be enough to
>> actually paint the surface of the thing.

>Whoa!  If I have a finite quantity of "mathematical paint" which
>has zero thickness, you're saying it will only cover a FINITE area??
>Please provide a proof of this rather remarkable statement.

>If, on the other hand, you're talking about "real" paint, then
>show me a PHYSICAL surface with the properties you mention which
>cannot be covered with Sears Latex (such an argument gets messy, 
>not only from all the spilled paint, but because you have to make
>certain assumptions about the molecular dynamics of paint, the 
>notion of packing fraction of dissimilar molecules and aggregates,
>etc. etc. ).  

Well, I finally did try it, and all of my Sears Weatherbeater ran into the 
singularity at the bottom and created a black hole.  Now I have a place to 
dump my garbage that doesn't take up much space.  I just don't dare drop it.

Bill




********************************************************
Bill Penrose, President, Custom Sensor Solutions, Inc.
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From: wpenrose@interaccess.com (William R. Penrose)
Subject: Re: DAMN, THAT'S COOL! (Help a fellow geek)
Date: 1997/01/31
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